m of Moving Iron Ammeter Calculator

✖Rm is the internal resistance of the coil in PMMC instrument.ⓘ Rm [Rₘ]			+10% -10%
✖Rsh is the shunt resistance in the coil.ⓘ Rsh [Rₛₕ]			+10% -10%
✖Omega gives the angular velocity effective on the ammeter, proportional to the supplied frequency.ⓘ Omega [ω]			+10% -10%
✖Inductance is the value of the meter inductance.ⓘ Inductance [L]			+10% -10%
✖Shunt Inductance is the value of the inductance in the attached shunt.ⓘ Shunt Inductance [L_sh]			+10% -10%

✖Multiplying Power 3 is the multiplying power of the shunt.ⓘ m of Moving Iron Ammeter [m_mi]

⎘ Copy

👎

Formula

✖

m of Moving Iron Ammeter

Formula

`"m"_{"mi"} = ("Rₘ"/"Rₛₕ")*sqrt((1+(("ω"*"L")/"Rₘ")^2)/(1+(("ω"*"L"_{"sh"})/"Rₛₕ")^2))`

Example

`"1.375384"=("13Ω"/"0.02Ω")*sqrt((1+(("10rad/s"*"55H")/"13Ω")^2)/(1+(("10rad/s"*"40H")/"0.02Ω")^2))`

Calculator

LaTeX

Reset

👍

Download Measuring Instrument Circuits Formula PDF PDF Image

m of Moving Iron Ammeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Multiplying Power 3 = (Rm/Rsh)*sqrt((1+((Omega*Inductance)/Rm)^2)/(1+((Omega*Shunt Inductance)/Rsh)^2))
m_mi = (Rₘ/Rₛₕ)*sqrt((1+((ω*L)/Rₘ)^2)/(1+((ω*L_sh)/Rₛₕ)^2))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Multiplying Power 3 - Multiplying Power 3 is the multiplying power of the shunt.
Rm - (Measured in Ohm) - Rm is the internal resistance of the coil in PMMC instrument.
Rsh - (Measured in Ohm) - Rsh is the shunt resistance in the coil.
Omega - (Measured in Radian per Second) - Omega gives the angular velocity effective on the ammeter, proportional to the supplied frequency.
Inductance - (Measured in Henry) - Inductance is the value of the meter inductance.
Shunt Inductance - (Measured in Henry) - Shunt Inductance is the value of the inductance in the attached shunt.

STEP 1: Convert Input(s) to Base Unit

Rm: 13 Ohm --> 13 Ohm No Conversion Required
Rsh: 0.02 Ohm --> 0.02 Ohm No Conversion Required
Omega: 10 Radian per Second --> 10 Radian per Second No Conversion Required
Inductance: 55 Henry --> 55 Henry No Conversion Required
Shunt Inductance: 40 Henry --> 40 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_mi = (Rₘ/Rₛₕ)*sqrt((1+((ω*L)/Rₘ)^2)/(1+((ω*L_sh)/Rₛₕ)^2)) --> (13/0.02)*sqrt((1+((10*55)/13)^2)/(1+((10*40)/0.02)^2))

Evaluating ... ...

m_mi = 1.37538403555909

STEP 3: Convert Result to Output's Unit

1.37538403555909 --> No Conversion Required

FINAL ANSWER

1.37538403555909 ≈ 1.375384 <-- Multiplying Power 3

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Moving Iron Type Circuit » m of Moving Iron Ammeter

Credits

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 4 Moving Iron Type Circuit Calculators

m of Moving Iron Ammeter

Go Multiplying Power 3 = (Rm/Rsh)*sqrt((1+((Omega*Inductance)/Rm)^2)/(1+((Omega*Shunt Inductance)/Rsh)^2))

Angular Deflection of Moving Iron

Go Angle of Deflection MI = (0.5*((Current in Coil)^2)*Change in Inductance)/K (spring)

Deflecting Torque of Moving Iron

Go Torque = 0.5*((Current in Coil)^2)*Change in Inductance

Time Constant of Moving Iron Ammeter

Go Time Constant = Shunt Inductance/Rsh

m of Moving Iron Ammeter Formula

Multiplying Power 3 = (Rm/Rsh)*sqrt((1+((Omega*Inductance)/Rm)^2)/(1+((Omega*Shunt Inductance)/Rsh)^2))
m_mi = (Rₘ/Rₛₕ)*sqrt((1+((ω*L)/Rₘ)^2)/(1+((ω*L_sh)/Rₛₕ)^2))

What is Moving Iron Instrument?

A moving-iron instrument is generally used to measure alternating voltages and currents. The moving element is an iron vane/plate. This iron is moved in a magnetic field produced by a stationary coil, which is excited by the current. On excitement, the coil behaves as an electromagnet and the vane move in such a way that the flux increases. Force is produced in the direction which results in the increment of coil inductance.

How to Calculate m of Moving Iron Ammeter?

m of Moving Iron Ammeter calculator uses Multiplying Power 3 = (Rm/Rsh)*sqrt((1+((Omega*Inductance)/Rm)^2)/(1+((Omega*Shunt Inductance)/Rsh)^2)) to calculate the Multiplying Power 3, The m of Moving Iron Ammeter is the overall multiplying power of the Moving Iron instrument based ammeter. Multiplying Power 3 is denoted by m_mi symbol.

How to calculate m of Moving Iron Ammeter using this online calculator? To use this online calculator for m of Moving Iron Ammeter, enter Rm (Rₘ), Rsh (Rₛₕ), Omega (ω), Inductance (L) & Shunt Inductance (L_sh) and hit the calculate button. Here is how the m of Moving Iron Ammeter calculation can be explained with given input values -> 1.375384 = (13/0.02)*sqrt((1+((10*55)/13)^2)/(1+((10*40)/0.02)^2)).

FAQ

What is m of Moving Iron Ammeter?

The m of Moving Iron Ammeter is the overall multiplying power of the Moving Iron instrument based ammeter and is represented as m_mi = (Rₘ/Rₛₕ)*sqrt((1+((ω*L)/Rₘ)^2)/(1+((ω*L_sh)/Rₛₕ)^2)) or Multiplying Power 3 = (Rm/Rsh)*sqrt((1+((Omega*Inductance)/Rm)^2)/(1+((Omega*Shunt Inductance)/Rsh)^2)). Rm is the internal resistance of the coil in PMMC instrument, Rsh is the shunt resistance in the coil, Omega gives the angular velocity effective on the ammeter, proportional to the supplied frequency, Inductance is the value of the meter inductance & Shunt Inductance is the value of the inductance in the attached shunt.

How to calculate m of Moving Iron Ammeter?

The m of Moving Iron Ammeter is the overall multiplying power of the Moving Iron instrument based ammeter is calculated using Multiplying Power 3 = (Rm/Rsh)*sqrt((1+((Omega*Inductance)/Rm)^2)/(1+((Omega*Shunt Inductance)/Rsh)^2)). To calculate m of Moving Iron Ammeter, you need Rm (Rₘ), Rsh (Rₛₕ), Omega (ω), Inductance (L) & Shunt Inductance (L_sh). With our tool, you need to enter the respective value for Rm, Rsh, Omega, Inductance & Shunt Inductance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search